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Finding the Fourth Proportional to 2,100.42, 2,900.10 and 1,652.76

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Solution

The fourth proportional to 2,100.42, 2,900.10 and 1,652.76 is: 2,282.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,100.42 : 2,900.10 = 1,652.76 : x
  2. Step 2: Convert to fraction form
    2,100.42/2,900.10 = 1,652.76/x
  3. Step 3: Cross multiply
    2,100.42x = 2,900.10 × 1,652.76
  4. Step 4: Simplify right side
    2,100.42x = 4,793,169.28
  5. Step 5: Solve for x
    x = 4,793,169.28/2,100.42
  6. Step 6: Final answer
    x = 2,282.01

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.